Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

The integrating factor of differential equation $\frac{dy}{dx}+y \, tan \, x = sec \, x $ is :

Options:

$e^{cos\, x}$

$sec\, x$

$e^{sec\, x}$

$cos\, x$

Correct Answer:

$sec\, x$

Explanation:

The correct answer is Option (2) → $\sec x$

$\frac{dy}{dx}+y\tan x =\sec x$

$I.F,=e^{\int\tan xdx}$

$=e^{\log|\sec x|}$

$=\sec x$